A new class of ordinary generating functions for binary products of Mersenne numbers and Gaussian numbers with parameters \(p\) and \(q\) (Q6546732)
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scientific article; zbMATH DE number 7856161
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new class of ordinary generating functions for binary products of Mersenne numbers and Gaussian numbers with parameters \(p\) and \(q\) |
scientific article; zbMATH DE number 7856161 |
Statements
A new class of ordinary generating functions for binary products of Mersenne numbers and Gaussian numbers with parameters \(p\) and \(q\) (English)
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30 May 2024
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Based on the authors' abstract, in the paper under review, the authors use elementary techniques in number theory to derive some new generating functions for the products of several special numbers including \((p, q)\)-Fibonacci numbers, \((p; q)\)-modified Pell numbers, and \((p, q)\)-Jacobsthal Lucas numbers. Furthermore, they also give some new generating functions for the products of Mersenne and Gaussian numbers with parameters \(p\) and \(q\).
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Mersenne numbers
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Gaussian numbers
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generating functions
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